🎓 Prepared by students from Boğaziçi University

What are Interest Rates?

Interest rates are the percentage of principal charged per year (or per period) for a loan, or earned on savings and investments. They are set by central banks and commercial banks based on inflation, supply and demand for money, and economic conditions. Higher rates make borrowing more expensive and savings more rewarding.

Short answer

Interest rates are the percentage of principal charged or earned per period for borrowing or saving money. They affect the cost of loans and the reward for savings, and are set by central banks and commercial lenders.

How Interest Accumulates Over Time
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x: Years · y: Total amount ($)Principal onlyWith 5% annual interest
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Try it: interactive calculator

Interest earned or paid
2,500$
= 10,000*5/100*5
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Step-by-step worked examples

You borrow $5,000 at 4% annual interest for 3 years (simple interest). How much interest do you pay?

I = P × r × t
I = 5000 × 0.04 × 3
I = 600 dollars

You deposit $10,000 in a savings account at 2.5% annual interest. Interest after 2 years?

I = P × r × t
I = 10000 × 0.025 × 2
I = 500 dollars

A credit card charges 18% annually on a $2,000 balance for 1 year. Interest charged?

I = P × r × t
I = 2000 × 0.18 × 1
I = 360 dollars
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Flashcards

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Quick quiz

Q1.$5,000 at 3% for 4 years. Simple interest earned?

Correct answer: B. I = 5000 × 0.03 × 4 = 600.

Q2.If the central bank raises the federal funds rate, banks will…

Correct answer: B. Higher central bank rates → banks pass the increase to customers.

Q3.Which borrower benefits most from low interest rates?

Correct answer: C. Borrowers pay less interest when rates are low.

Q4.What happens to savings accounts when interest rates rise?

Correct answer: B. Banks increase savings rates to attract deposits when central rates rise.
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Common mistakes

Ignoring the time value in interest calculations.Correct: Time is critical: I = P × r × t. Double the time = double the interest.

Confusing simple and compound interest.Correct: Simple: interest on principal only. Compound: earns interest on interest too—much higher over time.

Thinking interest only applies to loans.Correct: Interest also applies to savings, bonds, and investments—you earn it.

Not considering the real interest rate (inflation-adjusted).Correct: Real rate = nominal rate − inflation. A 5% rate is weak if inflation is 8%.

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FAQ

What is an interest rate?

Interest rate is the percentage of principal you pay (or earn) per year for borrowing or saving.

How do interest rates affect the economy?

Higher rates encourage saving, discourage borrowing, and slow spending/growth. Lower rates do the opposite.

What is the federal funds rate?

The interest rate the Federal Reserve sets for banks to lend to each other. All other rates follow from this.

Why do different loans have different interest rates?

Based on risk (credit score, collateral), loan term, and current market conditions. Riskier borrowers pay more.

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